Optimal periodic control
Author(s)
Bibliographic Information
Optimal periodic control
（Lecture notes in mathematics, 1313）
Springer-Verlag, c1988
- : gw
- : us
Available at / 74 libraries
-
Library & Science Information Center, Osaka Prefecture University
: gwNDC8:410.8||||10009499125
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||13138807014S
-
Hokkaido University, Faculty and Graduate School of Engineering図書
: GermanyDC19:510/L4973570134141
-
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
: BerlinDC19:629.8/C7182070086094
-
No Libraries matched.
- Remove all filters.
Note
Bibliography: p. [167]-177
Description and Table of Contents
Description
This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.
Table of Contents
Optimization theory.- Retarded functional differential equations.- Strong local minima.- Weak local minima.- Local relaxed minima.- Tests for local properness.- A scenario for local properness.- Optimal periodic control of ordinary differential equations.
by "Nielsen BookData"